All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Flipflop the digits, octuple the number (Posted on 2022-03-30) Difficulty: 3 of 5
Define the flipflop function, applied to a positive integer, as the result of having the 10^2i and 10^(2i+1) digits switch places.
Moreover, if the integer has an odd number of digits, append a leading zero to the left side of the number so that it can flipflop with the first nonzero digit.

For example, flipflop(9876) = 8967 and flipflop(1234567) is 10325476.

warm-up:
What is the smallest positive integer such that flipflop(m) = m*4?

octuple the number:
What is the smallest positive integer such that flipflop(n) = n*8?
In the case of multiplication by 8, I have found only one solution: are there any others?

No Solution Yet Submitted by Larry    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre(3): computer solutionBrian Smith2022-03-31 10:07:50
Solutionre(2): computer solutionCharlie2022-03-30 20:53:05
re(2): computer solutionLarry2022-03-30 14:56:22
re: computer solutionBrian Smith2022-03-30 12:05:08
Solutioncomputer solutionCharlie2022-03-30 11:45:13
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information